Question

In a row of boys facing the north, A is 16" from the left and C is 16" from the right end. B who is 4^th to the right of A, is 5^th to the left of C in the row. How many boys are there in the row?

• A. 41
• B. 40
• C. 43
• D. 42

Answer 1

The Correct Option is B

To determine the total number of boys in the row, let's analyze the problem step by step.

1. A is positioned 16th from the left end of the row. So, the position of A from the left is 16.
2. C is positioned 16th from the right end of the row. So, the position of C from the right is 16.
3. B is the fourth boy to the right of A. Therefore, the position of B is \(16 + 4 = 20\) from the left end.
4. B is also the fifth boy to the left of C. Therefore, the position of B from the right can be calculated as \(16 - 5 = 11\).

We now know B's position from both ends:

• 20 from the left end
• 11 from the right end

To find out the total number of boys in the row, add B's position from the left and right ends, then subtract 1 (since B is counted twice):

20 + 11 - 1 = 30

Therefore, there are 30 boys in the row.